1310001313 has 4 divisors (see below), whose sum is σ = 1310328900. Its totient is φ = 1309673728.

The previous prime is 1310001289. The next prime is 1310001347. The reversal of 1310001313 is 3131000131.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 224760064 + 1085241249 = 14992^2 + 32943^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310001313 - 2⁵ = 1310001281 is a prime.

It is a super-2 number, since 2×1310001313² = 3432206880123447938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1310001293 and 1310001302.

It is not an unprimeable number, because it can be changed into a prime (1310002313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157720 + ... + 165817.

It is an arithmetic number, because the mean of its divisors is an integer number (327582225).

Almost surely, 2^1310001313 is an apocalyptic number.

It is an amenable number.

1310001313 is a deficient number, since it is larger than the sum of its proper divisors (327587).

1310001313 is an equidigital number, since it uses as much as digits as its factorization.

1310001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327586.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1310001313 is about 36193.9402801077. The cubic root of 1310001313 is about 1094.1845469267.

Adding to 1310001313 its reverse (3131000131), we get a palindrome (4441001444).

It can be divided in two parts, 131000131 and 3, that multiplied together give a palindrome (393000393).

The spelling of 1310001313 in words is "one billion, three hundred ten million, one thousand, three hundred thirteen".